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Finding the Third Proportional to 481,534 and 644,214

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Solution

The third proportional to 481,534 and 644,214 is: 861,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,534 : 644,214 = 644,214 : x
  2. Step 2: Convert to fraction form
    481,534/644,214 = 644,214/x
  3. Step 3: Cross multiply
    481,534x = 644,214 × 644,214
  4. Step 4: Simplify right side
    481,534x = 415,011,677,796
  5. Step 5: Solve for x
    x = 415,011,677,796/481,534
  6. Step 6: Final answer
    x = 861,853.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.